This achievement is unlocked when you
use the terminal on the bridge of the Hope to successfully skip the ship. You can do it yourself if you have high intelligence and high science skill (around 80) or, alternatively, let ADA do it. With high intelligence, you will not be able to skip the Hope yourself unless you can pass the science skill check and the resulting skip will be successful and pop the achievement.
If you can't pass the science check, you can only skip the Hope yourself if you have below average or minimum intelligence and, then, your attempt will fail. Since this achievement requires a successful skip, skipping it into the sun will not pop this achievement. Nevertheless, if you ask ADA to skip the Hope, you are not required to pass any checks and her efforts will result in success and pop the achievement.
If you have below average or minimum intelligence, and elect to skip the Hope yourself, you will unlock the
Sunburned achievement. Both this achievement and the
Sunburned achievement require you to travel to the Hope and make your way to the bridge during the
Kept Secret but not Forgotten quest. The difference is that this achievement requires you to make a successful skip and
Sunburned requires you to make an unsuccessful skip.
If you are playing on any difficulty other than supernova, you can pop both this achievement and
Sunburned in succession with save manipulation. To do so, first work towards the Sunburned achievement. The following is a guide:
Solution for Sunburn In The Outer Worlds: Spacer's Choice Edition. Make a save just before you access the bridge. With below average or minimum intelligence, choose to skip the Hope yourself.
After the
Sunburned achievement pops and, with the unsuccessful skip into the sun, a game over; load up the save you made aboard the bridge. During the dialog, choose to let ADA skip the Hope to either Terra 2 or Tartarus. The choice does not matter with respect to the achievement but it does represent a branch in the story. If you let ADA skip, it doesn't matter what your intelligence level is, she will successfully execute the maneuver and the achievement will pop.
If you are playing on supernova, you can't save on the Hope. So, you will have to do a little backtracking from your most recent manual save or auto-save. Reverting to the most recent auto-save takes less time. However, it's a quick jaunt from the ship to the bridge. Loading up a manual save from the ship allows you to sleep first and continue with no adverse status effects. The video below shows an expedient path from the Unreliable to the Hope bridge to pop this achievement:
Note that the above video was made with the Spacer's Choice Edition so the achievement shows a GamerScore of 10 instead of the 15 earned with the original version of the game.